Live analysis

1,001,040

1,001,040 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

1,001,040 (one million one thousand forty) is an even 7-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 5 × 43 × 97. Its proper divisors sum to 2,207,088, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4650.

Abundant Number Gapful Number Harshad / Niven Odious Number Practical Number Refactorable Number Weird Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,001,028 1,001,029 1,001,030 1,001,031 1,001,032 1,001,033 1,001,034 1,001,035 1,001,036 1,001,037 1,001,038 1,001,039 1,001,040 1,001,041 1,001,042 1,001,043 1,001,044 1,001,045 1,001,046 1,001,047 1,001,048 1,001,049 1,001,050 1,001,051 1,001,052

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 401,001
Square (n²): 1,002,081,081,600
Cube (n³): 1,003,123,245,924,864,000
Divisor count: 80
σ(n) — sum of divisors: 3,208,128
φ(n) — Euler's totient: 258,048
Sum of prime factors: 156

Primality

Prime factorization: 2 ⁴ × 3 × 5 × 43 × 97

Nearest primes: 1,001,027 (−13) · 1,001,041 (+1)

Divisors & multiples

All divisors (80)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 40 · 43 · 48 · 60 · 80 · 86 · 97 · 120 · 129 · 172 · 194 · 215 · 240 · 258 · 291 · 344 · 388 · 430 · 485 · 516 · 582 · 645 · 688 · 776 · 860 · 970 · 1032 · 1164 · 1290 · 1455 · 1552 · 1720 · 1940 · 2064 · 2328 · 2580 · 2910 · 3440 · 3880 · 4171 · 4656 · 5160 · 5820 · 7760 · 8342 · 10320 · 11640 · 12513 · 16684 · 20855 · 23280 · 25026 · 33368 · 41710 · 50052 · 62565 · 66736 · 83420 · 100104 · 125130 · 166840 · 200208 · 250260 · 333680 · 500520 (half) · 1001040

Aliquot sum (sum of proper divisors): 2,207,088

Factor pairs (a × b = 1,001,040)

1 × 1001040

2 × 500520

3 × 333680

4 × 250260

5 × 200208

6 × 166840

8 × 125130

10 × 100104

12 × 83420

15 × 66736

16 × 62565

20 × 50052

24 × 41710

30 × 33368

40 × 25026

43 × 23280

48 × 20855

60 × 16684

80 × 12513

86 × 11640

97 × 10320

120 × 8342

129 × 7760

172 × 5820

194 × 5160

215 × 4656

240 × 4171

258 × 3880

291 × 3440

344 × 2910

388 × 2580

430 × 2328

485 × 2064

516 × 1940

582 × 1720

645 × 1552

688 × 1455

776 × 1290

860 × 1164

970 × 1032

First multiples

1,001,040 · 2,002,080 (double) · 3,003,120 · 4,004,160 · 5,005,200 · 6,006,240 · 7,007,280 · 8,008,320 · 9,009,360 · 10,010,400

Sums & aliquot sequence

As consecutive integers: 333,679 + 333,680 + 333,681 200,206 + 200,207 + 200,208 + 200,209 + 200,210 66,729 + 66,730 + … + 66,743 31,267 + 31,268 + … + 31,298

Aliquot sequence: 1,001,040 → 2,207,088 → 4,724,760 → 9,449,880 → 21,481,320 → 53,168,280 → 124,746,600 → 308,350,680 → 700,801,320 → 1,520,830,680 → 3,300,807,720 → 8,721,999,960 → 17,484,675,240 — keeps growing

Continued fraction of √n

√1,001,040 = [1000; (1, 1, 12, 11, 1, 3, 5, 1, 2, 1, 1, 4, 1, 30, 2, 4, 10, 3, 1, 14, 1, 3, 10, 4, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words: one million one thousand forty
Ordinal: 1001040th
Binary: 11110100011001010000
Octal: 3643120
Hexadecimal: 0xF4650
Base64: D0ZQ
One's complement: 4,293,966,255 (32-bit)
Scientific notation: 1.00104 × 10⁶
As a duration: 1,001,040 s = 11 days, 14 hours, 4 minutes

In other bases

ternary (3) 1212212011120

quaternary (4) 3310121100

quinary (5) 224013130

senary (6) 33242240

septenary (7) 11336325

nonary (9) 1785146

undecimal (11) 624107

duodecimal (12) 403380

tridecimal (13) 290841

tetradecimal (14) 1c0b4c

pentadecimal (15) 14b910

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓆼𓎆𓎆𓎆𓎆
Chinese: 一百萬一千零四十
Chinese (financial): 壹佰萬壹仟零肆拾

In other modern scripts

Eastern Arabic ١٠٠١٠٤٠ Devanagari १००१०४० Bengali ১০০১০৪০ Tamil ௧௦௦௧௦௪௦ Thai ๑๐๐๑๐๔๐ Tibetan ༡༠༠༡༠༤༠ Khmer ១០០១០៤០ Lao ໑໐໐໑໐໔໐ Burmese ၁၀၀၁၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001040, here are decompositions:

13 + 1001027 = 1001040
17 + 1001023 = 1001040
23 + 1001017 = 1001040
37 + 1001003 = 1001040
41 + 1000999 = 1001040
59 + 1000981 = 1001040
67 + 1000973 = 1001040
71 + 1000969 = 1001040

Showing the first eight; more decompositions exist.

Hex color

#0F4650

RGB(15, 70, 80)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.70.80.

Address: 0.15.70.80
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.70.80

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 1,001,040 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US1,001,040 on Google Patents ↗ Look up on USPTO ↗